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A Bound on the Number of Edges in Graphs Without an Even Cycle

  • BORIS BUKH (a1) and ZILIN JIANG (a2)
  • Please note a correction has been issued for this article.


We show that, for each fixed k, an n-vertex graph not containing a cycle of length 2k has at most $80\sqrt{k\log k}\cdot n^{1+1/k}+O(n)$ edges.



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A Bound on the Number of Edges in Graphs Without an Even Cycle

  • BORIS BUKH (a1) and ZILIN JIANG (a2)
  • Please note a correction has been issued for this article.


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